Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order

被引：12

作者：

Hasanov, A. ^{[1
,2
]}

Yuldashev, T. K. ^{[3
,4
]}

机构：

[1] VI Romanovskii Inst Math, Tashkent 100174, Uzbekistan

[2] Tashkent Inst Engineers Irrigat & Mechanizat Agr, Tashkent 100000, Uzbekistan

[3] Natl Univ Uzbekistan, Uzbek Israel Joint Fac High Technol & Engn Math, Tashkent 100174, Uzbekistan

[4] Jizzakh State Pedag Inst, Fac Phys & Math, Jizzakh 130100, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 02期

关键词：

Gauss hypergeometric function; hypergeometric functions of three variables; analytical continuation formulas; integral representations; FUNDAMENTAL-SOLUTIONS; TRICOMI OPERATOR; CAUCHY-PROBLEM; EQUATIONS;

D O I：

10.1134/S1995080222050146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, some kind of hypergeometric functions are considered. For the three variables hypergeometric functions F-1c (x, y, z), F-2c (x, y, z), F-4b (x, y, z), F-4c (x, y, z), F-5b (x, y, z), F-5c (x, y, z) are obtained the new analytic continuation formulas.

引用

页码：386 / 393

页数：8

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